Check to be sure that cables are clean, free of corrosion, and not loose.

How’s the “ground” from the battery to the engine? You could try using a jumper cable and “jumping” from the negative (-) battery post to a clean spot on the engine. This way if there is a “ground” problem, you will temporarily create a good ground. Are you sure the “new” battery is fully charged?

Has this happened before or is this the only time it has failed to turn over?

Has it ever cranked over after the battery and starter were replaced?

What happened just before this when the car was parked? Was everything working just fine until the next time you attempted to start it? Was there some kind of problem or indication that something was going wrong?

Any lights on or gauges reading out of the ordinary? Is the serpentine or accessory belt that drives the alternator tight enough?

Good news, After I turned the engine over with the harmonic balancer bolt a few times, the car started. Then I found another issue. The serpentine belt had snapped, and I have found that the pully on the a/c compressor is frozen.

I reinstalled a new serp belt, but the pully on the a/c compressor is not turning. Is my only solution to replace the compressor?

It may be that the clutch on the front of the compressor (right behind the pulley) has locked up. There should be an eletrical connector on the clutch. Disconnect it and see if you can turn the pulley. If so, the compressor has locked up and you will need a new compressor. If you can’t turn the pulley when the power is disconnected, the pully clutch is locked. You shouldn’t have to replace the compressor to replace the clutch.